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Question 765581: I need to determine if relation is function:
Domain: each person in town
Correspondence: each persons aunt
Range: a set of females
Is this relationship a function?
How would you go about figuring it out?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! This is NOT a function because a person may have more than one aunt. So let's say you have a person named Frank and he has a dad who has a sister named Julie and Barbara. Let's say Frank's mom has 1 sister named Debbie. Frank has 3 aunts, but the input (Frank) needs to map to EXACTLY ONE output (Franks aunt) for it to be a function. One value in the domain is "Frank" and three values in the range would be "Julie", "Barbara", "Debbie". If this was a function, then "Frank" would only map to one, and only one name in the range, not 3.
So again, this is a NOT a function.
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